88822080 has 84 divisors (see below), whose sum is σ = 305520852. Its totient is φ = 23685120.

The previous prime is 88822073. The next prime is 88822087. The reversal of 88822080 is 8022888.

It is an interprime number because it is at equal distance from previous prime (88822073) and next prime (88822087).

It can be written as a sum of positive squares in 2 ways, for example, as 52533504 + 36288576 = 7248^2 + 6024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88822087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12541 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (3637153).

Almost surely, 2^88822080 is an apocalyptic number.

88822080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88822080 is an abundant number, since it is smaller than the sum of its proper divisors (216698772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

88822080 is a wasteful number, since it uses less digits than its factorization.

88822080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30864 (or 30851 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 88822080 is about 9424.5466734480. The cubic root of 88822080 is about 446.1767951853.

The spelling of 88822080 in words is "eighty-eight million, eight hundred twenty-two thousand, eighty".